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22104430020 = 22325122802389
BaseRepresentation
bin10100100101100001…
…101101010111000100
32010001111101101112100
4110211201231113010
5330232213230040
614053222352100
71411524361251
oct244541552704
963044341470
1022104430020
119413413492
12434a88b630
132113686cba
1410d99a6428
158958aab30
hex52586d5c4

22104430020 has 36 divisors (see below), whose sum is σ = 67050104940. Its totient is φ = 5894514624.

The previous prime is 22104429983. The next prime is 22104430031. The reversal of 22104430020 is 2003440122.

22104430020 is a `hidden beast` number, since 2 + 210 + 4 + 430 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13690404036 + 8414025984 = 117006^2 + 91728^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22104429975 and 22104430002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61401015 + ... + 61401374.

It is an arithmetic number, because the mean of its divisors is an integer number (1862502915).

Almost surely, 222104430020 is an apocalyptic number.

22104430020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22104430020 is an abundant number, since it is smaller than the sum of its proper divisors (44945674920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22104430020 is a wasteful number, since it uses less digits than its factorization.

22104430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122802404 (or 122802399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22104430020 its reverse (2003440122), we get a palindrome (24107870142).

The spelling of 22104430020 in words is "twenty-two billion, one hundred four million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122802389 245604778 368407167 491209556 614011945 736814334 1105221501 1228023890 1473628668 1842035835 2210443002 2456047780 3684071670 4420886004 5526107505 7368143340 11052215010 22104430020